| Presentation | 2006-03-21 An estimation of order of nonlinear terms from time series in the neutral inversion model Kazuhiro OGASAWRA, Nobuyuki TAKAHASHI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this study, we propose a method to estimate an order of a nonlinear term in nonlinear differential equations. First, we obtain nonlinear differential equations from the neutral inversion model, and show the dependence of time series generated the model on the nonlinear term. Second, to estimate an order of a nonlinear term, we transform the time series into a power spectrum which show a statistical character of a time series. And we cluster them using Self-Organizing Map (SOM) and show an effectivity of our method. Third, we elucidate a region which show that we can estimate an order of nonlinear terms, in a parameter space where the neutral inversion occurs. Last, we show the extensibility of our method. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | inverse problem / nonlinear differential equation / nonlinear term / neutral inversion / parametric excitation |
| Paper # | NLP2005-157 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2006/3/14(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | An estimation of order of nonlinear terms from time series in the neutral inversion model |
| Sub Title (in English) | |
| Keyword(1) | inverse problem |
| Keyword(2) | nonlinear differential equation |
| Keyword(3) | nonlinear term |
| Keyword(4) | neutral inversion |
| Keyword(5) | parametric excitation |
| 1st Author's Name | Kazuhiro OGASAWRA |
| 1st Author's Affiliation | Future University-Hakodate, Graduate School of Systems Information Science() |
| 2nd Author's Name | Nobuyuki TAKAHASHI |
| 2nd Author's Affiliation | Future University-Hakodate, Graduate School of Systems Information Science |
| Date | 2006-03-21 |
| Paper # | NLP2005-157 |
| Volume (vol) | vol.105 |
| Number (no) | 676 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |